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Finding the Fourth Proportional to 461,616.76, 692,318.22 and 146,014.84

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Solution

The fourth proportional to 461,616.76, 692,318.22 and 146,014.84 is: 218,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,616.76 : 692,318.22 = 146,014.84 : x
  2. Step 2: Convert to fraction form
    461,616.76/692,318.22 = 146,014.84/x
  3. Step 3: Cross multiply
    461,616.76x = 692,318.22 × 146,014.84
  4. Step 4: Simplify right side
    461,616.76x = 101,088,734,122.39
  5. Step 5: Solve for x
    x = 101,088,734,122.39/461,616.76
  6. Step 6: Final answer
    x = 218,988.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.